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If m^(k + 1) = m^(k^2 + 1), what is m^k?

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Joined: 02 Sep 2009
Posts: 47110
If m^(k + 1) = m^(k^2 + 1), what is m^k? [#permalink]

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New post 10 Sep 2017, 21:44
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (01:25) correct 37% (01:23) wrong based on 43 sessions

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Joined: 14 Sep 2016
Posts: 149
Re: If m^(k + 1) = m^(k^2 + 1), what is m^k? [#permalink]

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New post 10 Sep 2017, 23:52
Answer is E

Since if we reduce give condition further down we will get m^k=m^k^2

1) If m = 2 then k can either be 0 or 1 but using these two values we will get m^k as 2 or 1 hence, not sufficient
2) if k is not equal to 2, in this case value of m is unknown m can take any value plus k can any value apart from 2. Not sufficient

Both statement together doesn't provide much info.

Hence, answer E
Re: If m^(k + 1) = m^(k^2 + 1), what is m^k?   [#permalink] 10 Sep 2017, 23:52
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